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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 10: Q. 144 (page 1033)

Convert each logarithmic equation to exponential form:
$4 = \log_{x} (81)$ .

Short Answer

Expert verified

The exponential form is,

$81 = x^{4}$ .

Step by step solution

01

Step 1. Given the information.

The logarithmic equation is,

$4 = \log_{x} (81)$ .

02

Step 2. Converting to exponential form.

$4 = \log_{x} (81) x = a^{y} 81 = x^{4} .$

If $4 = \log_{x} (81)$ ,

then $81 = x^{4}$ .

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Most popular questions from this chapter

In the following exercises, graph each exponential function:

$f (x) = 3^{x + 2}$

In the following exercises, find the inverse of each function.

$f (x) = x^{2} + 6, x \geq 0$

Graph: $g (x) = {(\frac{1}{5})}^{x}$

In the following exercises, find

a. $f \circ g (x)$

b. $g \circ f (x)$

c. $(f . g) (x)$

In the following exercises, solve each equation.

$4^{x} = 32$

See all solutions

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